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NDA 2025 · PYQ · Electricity / Parallel Resistors · easy

If three resistors of 1 Ohm each connect in parallel to each other the resultant resistance is

  1. A.1 Ohm
  2. B.1/3 Ohm✓ Correct
  3. C.3 Ohm
  4. D.9 Ohm

Explanation

For resistors connected in parallel, the resultant resistance is given by 1/R = 1/R₁ + 1/R₂ + 1/R₃. With R₁ = R₂ = R₃ = 1 Ohm: 1/R = 1/1 + 1/1 + 1/1 = 3, so R = 1/3 Ohm. In general, when n equal resistors of resistance R are connected in parallel, the equivalent resistance is R/n. Here, R/n = 1/3 Ohm.
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